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Finding the Fourth Proportional to 3,693.67, 5,097.95 and 2,400.51

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Solution

The fourth proportional to 3,693.67, 5,097.95 and 2,400.51 is: 3,313.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.67 : 5,097.95 = 2,400.51 : x
  2. Step 2: Convert to fraction form
    3,693.67/5,097.95 = 2,400.51/x
  3. Step 3: Cross multiply
    3,693.67x = 5,097.95 × 2,400.51
  4. Step 4: Simplify right side
    3,693.67x = 12,237,679.95
  5. Step 5: Solve for x
    x = 12,237,679.95/3,693.67
  6. Step 6: Final answer
    x = 3,313.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.